Charged Lepton Flavor Violation in QMU: Holonomy Leakage Model for mu+ -> e+ gamma

This paper presents a QMU-first model of charged lepton flavor violation (CLFV) focused on the radiative decay μ⁺→ e⁺γ. In the Aether Physics Model (APM), the charged leptons correspond to distinct packing (holonomy) sectors on the Aether-unit lattice. In that setting, CLFV is modeled as holonomy leakage: a controlled mismatch between flavor-sector connections that survives the 5D→ 4D projection. A ledger-first workflow is used. Before introducing a channel model, the paper verifies a minimal QMU structural identity (the Ledger Closure Check) that anchors the unit system employed throughout. In the paper this is expressed as Aᵤ· curl=Fq²λC². Using the correspondence FqλC=c, this can be recognized as Aᵤ· curl=c² and therefore matches the familiar electromagnetic propagation constant written in SI as c²=1/(μ₀ε₀). The role of this check here is to certify internal ledger closure before interpreting any dimensionless experimental observable as a bound on a QMU-defined invariant. The experimental observable is the branching ratio Bμ eγ := Γ(μ⁺→ e⁺γ)/Γ(μ⁺→ e⁺νν̄),which is intrinsically dimensionless and therefore directly compatible with QMU holonomy predictions without importing field-strength narratives. The central construction is a dimensionless leakage invariant defined as a normalized closed-path integral of an inter-sector defect one-form. Let ωμ and ωₑ denote the effective connection one-forms for the muon and electron packing sectors (including chronovibrational closure and the observational projection). Define the defect one-form δωμ e:=ωμ-ωₑ and the leakage invariant εμ e:=(2π)⁻¹∮ δωμ e. Exact sector orthogonality implies εμ e=0, enforcing Bμ eγ=0 in the present model; any nonzero branching ratio signals a specific geometric permission (an obstruction that survives domain pairing and projection). To leading order the paper writes the channel rate asBμ eγ = Kμ eγ\,εμ e²,where Kμ eγ is a dimensionless geometric coefficient determined by radiative emission geometry and selection rules. The paper emphasizes that the inferred scale of εμ e depends sensitively on whether Kμ eγ is order-unity or carries an explicit fine-structure suppression; this distinction materially changes the leakage bound extracted from a given branching-ratio limit. A multi-channel extension is developed in the same holonomy language. The same leakage invariant εμ e is taken to control the three ``golden'' muon CLFV channels μ⁺→ e⁺γ, μ⁺→ e⁺e⁻e⁺, and coherent conversion μ⁻N→ e⁻N. Each observable is written in the factorized form RO=KOεμ e², implying channel-ratio tests independent of the leakage amplitude:Bμ 3e/Bμ eγ=Kμ 3e/Kμ eγ andRμ e(N)/Bμ eγ=Kμ e(N)/Kμ eγ.This yields an immediately falsifiable program: once the K-ratios are computed from seam/packing geometry, any one measured (or bounded) channel predicts the others without re-tuning. The paper then commits to a discrete obstruction picture for the leakage invariant on an octant domain decomposition of the positive electrostatic sheet (shared by e⁺] and [μ⁺). Assuming local exactness on domains, the loop integral reduces to quantized boundary jumps, producing a discrete spectrum εμ e=αᵖτμ e/N with τμ e and $N=8$. A seam-orientation sign rule derived from loxodromic geometry determines when the leading α¹ contribution cancels (forcing p≥ 2) or survives (allowing $p=1$). On the pinned symmetric branch the paper commits to $p=2$ and shows that, when the radiative readout coefficient carries an explicit α, the scaling B(μ→ eγ)∝ α¹⁺²ᵖ=α⁵ places the natural τμ e=1 level near the current ~ 10⁻¹³ experimental sensitivity. Finally, for coherent conversion the paper introduces a QMU-native nuclear packing overlap factor ΠN and a mandatory timing (dwell) factor TN for pulsed experiments with delayed live windows. With muonic-atom mean life τN, dead-time td, and live width Δ t, the dwell factor is defined by TN(td,Δ t)=e-td/τN(1-e-Δ t/τN). This yields a clean separation between (i) the universal lepton-sector leakage invariant and (ii) how a chosen target and timing program exposes it. The resulting target+timing scaling relations are proposed as direct experimental discriminators and motivate concrete near-term tests (timing scans on a fixed target, target swaps at fixed timing, and a heavy-target stress test with earlier gating). The MEG II full-dataset null limit is interpreted as a direct bound on εμ e once Kμ eγ is fixed geometrically, and the paper outlines derivation milestones to compute the sector connections, classify obstruction classes, and publish falsifiable channel-ratio tables for standard conversion targets.